UNIFIED DESCRIPTION OF ENDOREVERSIBLE CYCLES FOR LINEAR PIIENOMENOLOGICAL HEAT-TAXNSFER LAW

摘要

The optimal performance of a three-heat-reservoir heat pump operating with a finite high- temperature source and two other heat reservoirs at constant temperature is studied. It is assumed that there exists the sole irreversibility of heat conduction in the cycle and heat- transfer law obeys another linear law [i. e., linear phenomenological law in irreversible thermodynamics, the heat-flux q∝△ (I/T)] instead of Newton's law. The optimal configuration and the fundamental optimum formula of the cycle are studied. The results are compared with the optimal performance of a generalized three-heat reservoir heat pump cycle for Newton's heat transfer law. Many important conclusions concerned with linear phenomenological law endoreversible cycles may be included in the optimal formula. It is thus clear that the formula make a unified description of various linear phenomenological law endoreversible cycles discussed in finite-time thermodynamics.